The document defines a circumcircle as a circle that passes through all three vertices of a triangle. The circumcenter is defined as the point where the perpendicular bisectors of any two sides of a triangle intersect, and its location depends on the triangle type - inside for acute triangles, at the midpoint of the hypotenuse for right triangles, and outside for obtuse triangles.

2. CIRCUMCIRCLE

3. A CIRCLE WHICH
PASSES THROUGH
THE THREE
VERTICES OF A
TRIANGLE IS
CALLED
CIRCUMCIRCLE.

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5. CIRCUMCENTRE
THE PERPENDICULAR
BISECTOR OF ANY TWO
SIDES OF A TRIANGLE
MEET AT A POINT IS
CALLED
CIRCUMCENTRE.

6. FOR AN ACUTE ANGLED
TRIANGLE CIRCUMCENTRE
LIES INSIDE THE TRIANGLE.
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P
QR

7. FOR A RIGHT ANGLED
TRIANGLE CIRCUMCENTRE LIES
AT THE MIDPOINT OF THE
HYPOTENUSE.
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Q
R

8. FOR AN OBTUSE ANGLED
TRIANGLE CIRCUMCENTRE
LIES OUTSIDE THE
TRIANGLE.
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